Mathematics, 04.09.2019 05:30 Donlito8535

What is 5/10 times 2/4 and what’s 2/3 times 2/12 show step by step equation
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Answer from: oomale

$\bold{\dfrac{1}{4}\qquad and\qquad \dfrac{1}{9}}$

Step-by-step explanation:

$\dfrac{5}{10}\times \dfrac{2}{4}\quad =\dfrac{5\times 2}{10\times 4}\quad =\dfrac{10}{40}\\\\\text{Simplify by dividing by the GCF of 10:} \quad \dfrac{10\div 10}{40\div 10} =\large\boxed{\dfrac{1}{4}}$

$\dfrac{2}{3}\times \dfrac{2}{12}\quad =\dfrac{2\times 2}{3\times 12}\quad =\dfrac{4}{36}\\\\\text{Simplify by dividing by the GCF of 4:} \quad \dfrac{4\div 4}{36\div 4}=\large\boxed{\dfrac{1}{9}}$

Answer from: Quest

step-by-step explanation:

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

or, 130% of $420 is 1.3($420) = $546.

notice that this is not the $600 original list price with which we started.

why doesn't this work?

the method does not work because 30% of $420 is not the same amount as the 30% of $600. it may seem obvious when stated this way, but it is a very common error made on problems of this type. we cannot just use the same percent and get back to the original amount because we are taking that percent of a different value.

to work problems of this type correctly, it is generally best to write an equation for the situation and then solve.

example: since (100% – 30%)(original price) = (sale price)

70% of the (original price) is $420.

0.7x = 420

equation image indicator

x = 600

the original cost was $600.

we may also solve this problem using the two-step method. working the problem in two steps requires us to use more algebra skills. we have to know that x = 1x (identity property of multiplicationtext annotation indicator) and that 1x – 0.3x = 0.7x (subtracting like terms). then we solve the problem as follows:

(original price) – 30%(original price) = sale price

x – 0.3x = 420

0.7x = $420

equation image indicator

x = 600

the original cost was $600.

note that with both of the above methods we do obtain the correct original amount.

example: after a 5% pay raise, hermione is earning $22,680 per year. what was she earning before the pay raise?

105% of (original salary) = current salary

1.05x = 22,680

equation image indicator

x = 21,600

hermione earned $21,600 per year before the pay raise.

this is an example so maybe you will get how to at least do it!

Answer from: Quest

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation:

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What is 5/10 times 2/4 and what’s 2/3 times 2/12 show step by step equation
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